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Digital SAT
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Evaluation of Composite Functions

Hard Functions And Modeling Function Notation And Interpretation

Consider the function defined by the equation:

$$ f(x) = 3x^2 - 2x + 1 $$

For the purpose of modeling, another function is introduced as:

$$ g(x) = 5 - f(x) $$

Calculate the value of $g(x)$ when $x = 2$. Then, express your answer as a decimal and as a reduced fraction.

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